Doing over seas traveling, and logging into various mediums such as hosting etc, and their all freezing the accounts detecting foreign IPs. I heard something about a special router with US IPs set in it or you set your own IPs. Would this help eliminate the problems I am having? What are these routers called, where can I purchase one?
You don't need a hardware router, just subscribe to a VPN. Of course there's no way of knowing if country X has your VPN blocked.
I think you are talking about a proxy. Or why not use your local machine and something like logmein. remote first into your home local machine and then out from there to you hosting machines, etc.